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Simplifying 2(4r + 3) = 3(2r + 7) Reorder the terms: 2(3 + 4r) = 3(2r + 7) (3 * 2 + 4r * 2) = 3(2r + 7) (6 + 8r) = 3(2r + 7) Reorder the terms: 6 + 8r = 3(7 + 2r) 6 + 8r = (7 * 3 + 2r * 3) 6 + 8r = (21 + 6r) Solving 6 + 8r = 21 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 6 + 8r + -6r = 21 + 6r + -6r Combine like terms: 8r + -6r = 2r 6 + 2r = 21 + 6r + -6r Combine like terms: 6r + -6r = 0 6 + 2r = 21 + 0 6 + 2r = 21 Add '-6' to each side of the equation. 6 + -6 + 2r = 21 + -6 Combine like terms: 6 + -6 = 0 0 + 2r = 21 + -6 2r = 21 + -6 Combine like terms: 21 + -6 = 15 2r = 15 Divide each side by '2'. r = 7.5 Simplifying r = 7.5
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